Hearings began last week in Washington into whether US President Donald Trump ordered to freeze US military aid to Ukraine in an effort to get Kiev to launch investigations against potential 2020 election rival Joe Biden and his son Hunter.
On Tuesday an American reporter pressed Zelensky on whether he had been ready to launch a probe into Biden's son's ties to Ukraine energy company Burisma, as a concession to Trump.
"Everyone in Ukraine is so tired of Burisma," Zelensky said, before quickly leaving the room full of reporters.
Zelensky, a 41-year-old comedian who was elected President of Ukraine in April, has found himself at the centre of the impeachment scandal in the US after his phone call with Trump resulted in a probe into whether the US president had pressured his Ukrainian counterpart to further his own personal agenda.
The Ukrainian probe was to target Hunter Biden's activities from April 2014 to April 2019 when he served on the board of Burisma Holdings, a Ukrainian gas firm accused of corrupt practices.
Ukraine's Foreign Minister Vadym Prystaiko said Tuesday the country has been proud to receive support from both major US political parties, the Republicans and Democrats, and that Kiev is keen to maintain that assistance.
"Now we definitely do not need to be involved in any problems in another part of the world," Prystaiko said during a joint press conference with German counterpart Heiko Maas in Kiev.